Only partly true there I’m afraid. Pennsylvania allows for children to be responsible for medical and long term care bills from their parents under a filial support law:
https://www.legis.state.pa.us/cfdocs/legis/LI/consCheck.cfm?txtType=HTM&ttl=23&div=0&chpt=46
That’s still owing money for something I would have never had a say in so call it whatever you want but it meets the definition of debt.